What is the wavefunction at a later time

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A particle of mass m is confined to a one-dimensional potential well with infinite potential walls. The well extends from 0≤ x ≤ a. At time t = 0, the normalized wavefunction is

Ψ(x, t=0) = (8/5a)1/2 [ 1 + cos (πx/a)] sin (πx/a)

What is the wavefunction at a later time t = t0?

(Hint: Any wavefunction Ψ(x,t) can be expanded in terms of the basis wavefunctions

Ψ(x,t) = Σn An(t) Ψn(x,0)

where An(t) = A0 (0) exp(-iEnt2π/h).

Reference no: EM13963635

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